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978-3-540-24656-5
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121227s2004 gw | s |||| 0|eng d
9783540246565
978-3-540-24656-5
10.1007/b97201
doi
QA440-699
PBM
bicssc
MAT012000
bisacsh
516
23
Heuel, Stephan.
author.
Uncertain Projective Geometry
[electronic resource] :
Statistical Reasoning for Polyhedral Object Reconstruction /
by Stephan Heuel.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2004.
XVIII, 210 p.
online resource.
text
txt
rdacontent
computer
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rdamedia
online resource
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text file
PDF
rda
Lecture Notes in Computer Science,
0302-9743 ;
3008
1 Introduction -- 2 Representation of Geometric Entities and Transformations -- 3 Geometric Reasoning Using Projective Geometry -- 4 Statistical Geometric Reasoning -- 5 Polyhedral Object Reconstruction -- 6 Conclusions -- A Notation -- B Linear Algebra -- C Statistics.
Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis. This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms. The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.
Mathematics.
Mathematical statistics.
Artificial intelligence.
Computer graphics.
Image processing.
Pattern recognition.
Geometry.
Mathematics.
Geometry.
Pattern Recognition.
Image Processing and Computer Vision.
Probability and Statistics in Computer Science.
Computer Graphics.
Artificial Intelligence (incl. Robotics).
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783540220299
Lecture Notes in Computer Science,
0302-9743 ;
3008
http://dx.doi.org/10.1007/b97201
ZDB-2-SCS
ZDB-2-LNC
ZDB-2-BAE
ddc
EB
Computer Science (Springer-11645)
16029
16029